841 resultados para Martingale representation theorem


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Esta propuesta de investigación se enmarca en los encuentros y discusiones que se están realizando en la Escuela de Artes de la Facultad de Filosofía y Humanidades (CEPIA, CIFFyH y SeCyT, de la U.N.C), en relación a las problemáticas de la investigación en Artes. Los encuentros llevados a cabo en diversas ocasiones y a lo largo de 2009, demuestran la necesidad de establecer un campo particular de la investigación y su relación con la práctica artística. Este proyecto nace de estas inquietudes y establece ciertos ejes de trabajo que permiten poner en práctica ciertos esbozos imaginados. En este sentido, nuestra propuesta se centra en definir la misma construcción escénica como objeto de estudio, delimitando sobre éste la problemática de lo real en el trabajo de la ficción, proponiendo además un equipo que permita investigar en su propio desarrollo creativo las diversas variables que entran en juego. De este modo, se trabajará en una propuesta de laboratorio escénico donde los planteos de orden teórico atraviesen la práctica y, a su vez, la observación de ésta permita una reelaboración y profundización del pensamiento contemporáneo sobre la problemática ejecución/representación, desde los diversos órdenes en que ésta interviene. La idea de representación teatral que planteaba Aristóteles señala que las acciones devienen necesariamente en la definición del carácter de los personajes. Este concepto es clave en el desarrollo del teatro occidental y por ende en las diferentes concepciones de actor. La definición de acción dada por Aristóteles es problemática para parte del teatro contemporáneo ya que supone que toda acción es mimética. También da por supuesto que en el teatro se conforman personajes, y que la unidad narrativa está dada por una programática, que es definida por la acción.La presente investigación se propone indagar en la relación entre la ejecución de la acción y su representación en el desarrollo de un laboratorio teatral. Esto implica que necesariamente es aplicada al trabajo escénico. Nuestra hipótesis de partida es que la relación conflictiva entre acción, ejecución de la misma y representación, se produce a partir de la operación material sobre lo real . Estas intersecciones podrían ser pensadas como una teoría del montaje donde la corporalidad es el principio necesario e irreductible de la construcción. La intersección de lo real es una problemática que permite ahondar sobre los procedimientos por los cuales se construye la escena. La idea de un teatro material, obliga a pensar con qué procedimientos se construye ficción. Un teatro que intenta recalar en lo “real” como modo de señalar la cosa misma, se propone, desde la perspectiva de la realización, indagar en los mecanismos de su construcción (procedimientos), por lo cual supone que la actividad teatral puede dar cuenta de los procesos por los cuales se realiza. La realización de una acción, puede remitir a sí misma y genera una relación “extraña” y ambigua con el mundo de referencia. La acción en sí misma, pone en cuestión la idea de modelo y da cuenta de una crisis en la representación. La teoría ha intentado dividir y sistematizar de manera binaria la manifestación teatral: Teatro de Representación/ Teatro Performático, para distinguir un teatro vinculado a la creación de personajes o para relacionarlo a un teatro de ejecución. Sin embargo, pensamos que es posible encontrar en la producción escénica, intersecciones de lo real que median el mundo de la representación y el de la performance para la construcción de ficción. Nuestra hipótesis de base es que si intervenimos el plano de la ejecución en el actor, la representación varía sustancialmente sus mecanismos de producción de sentido. Este primer planteo no es conflictivo hasta que se pone de manifiesto lo real. This research’s proposal is framed into the meetings and discussions that have been taking place in the School of Arts of the Faculty of Philosophy and Humanities (CEPIA, CIFFyH y SeCyT, of the National University of Cordoba), concerning the difficulties of research in Arts. The meetings carried out along 2009, demonstrate the need to establish a particular field of research and its relation to the practice of arts. This project is born from these concerns and it establishes central axis for the work, that enables us to put on practice some sketches imagined. In this regard, our proposal focuses on defining the construction of the scene as object of study, in itself, delimiting the issue of “the real” in the work of fiction. Proposing, furthermore, a team for researching the many variables that comes into play, in their own creative development. Consequently, the work will be developed in the method of a scenic laboratory, where the theoretical proposals cross over the practice and, in turn, these observations allow a reworking and deepen of contemporary thinking about the problematic of performance / representation, from the diverse orders in which it intervene. The idea of theatrical performance proposed by Aristotle, indicate that actions necessarily turn into the definition of the nature of the characters. This concept is key to the development of Western theaterand consequently on the different conceptions of actor. The definition of action given by Aristotle is problematic for a part of the contemporary theater, because it assumes that every action is mimetic. Also presumes that in the theatre the characters are formed, and narrative unit is given by a programmatic, which is defined by the action. This research proposes to explore the relationship between implementation of the action and its representation in the development of a theatrical laboratory. This implies that it is applied necessarily to the scenic practice. Our preliminary hypothesis is that the co.

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The classical central limit theorem states the uniform convergence of the distribution functions of the standardized sums of independent and identically distributed square integrable real-valued random variables to the standard normal distribution function. While first versions of the central limit theorem are already due to Moivre (1730) and Laplace (1812), a systematic study of this topic started at the beginning of the last century with the fundamental work of Lyapunov (1900, 1901). Meanwhile, extensions of the central limit theorem are available for a multitude of settings. This includes, e.g., Banach space valued random variables as well as substantial relaxations of the assumptions of independence and identical distributions. Furthermore, explicit error bounds are established and asymptotic expansions are employed to obtain better approximations. Classical error estimates like the famous bound of Berry and Esseen are stated in terms of absolute moments of the random summands and therefore do not reflect a potential closeness of the distributions of the single random summands to a normal distribution. Non-classical approaches take this issue into account by providing error estimates based on, e.g., pseudomoments. The latter field of investigation was initiated by work of Zolotarev in the 1960's and is still in its infancy compared to the development of the classical theory. For example, non-classical error bounds for asymptotic expansions seem not to be available up to now ...

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Magdeburg, Univ., Fak. für Naturwiss., Diss., 2012

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Magdeburg, Univ., Fak. für Informatik, Diss., 2012

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Magdeburg, Univ., Fak. für Elektrotechnik und Informationstechnik, Diss., 2013

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The main aim of this short paper is to advertize the Koosis theorem in the mathematical community, especially among those who study orthogonal polynomials. We (try to) do this by proving a new theorem about asymptotics of orthogonal polynomi- als for which the Koosis theorem seems to be the most natural tool. Namely, we consider the case when a SzegÄo measure on the unit circumference is perturbed by an arbitrary measure inside the unit disk and an arbitrary Blaschke sequence of point masses outside the unit disk.

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"Vegeu el resum a l'inici del document del fitxer adjunt."

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We present Shelah’s famous theorem in a version for modules, together with a self-contained proof and some examples. This exposition is based on lectures given at CRM in October 2006.

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We prove a double commutant theorem for hereditary subalgebras of a large class of C*-algebras, partially resolving a problem posed by Pedersen[8]. Double commutant theorems originated with von Neumann, whose seminal result evolved into an entire field now called von Neumann algebra theory. Voiculescu proved a C*-algebraic double commutant theorem for separable subalgebras of the Calkin algebra. We prove a similar result for hereditary subalgebras which holds for arbitrary corona C*-algebras. (It is not clear how generally Voiculescu's double commutant theorem holds.)

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"Vegeu el resum a l'inici del document del fitxer adjunt."

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In the context of an autologous cell transplantation study, a unilateral biopsy of cortical tissue was surgically performed from the right dorsolateral prefrontal cortex (dlPFC) in two intact adult macaque monkeys (dlPFC lesioned group), together with the implantation of a chronic chamber providing access to the left motor cortex. Three other monkeys were subjected to the same chronic chamber implantation, but without dlPFC biopsy (control group). All monkeys were initially trained to perform sequential manual dexterity tasks, requiring precision grip. The motor performance and the prehension's sequence (temporal order to grasp pellets from different spatial locations) were analysed for each hand. Following the surgery, transient and moderate deficits of manual dexterity per se occurred in both groups, indicating that they were not due to the dlPFC lesion (most likely related to the recording chamber implantation and/or general anaesthesia/medication). In contrast, changes of motor habit were observed for the sequential order of grasping in the two monkeys with dlPFC lesion only. The changes were more prominent in the monkey subjected to the largest lesion, supporting the notion of a specific effect of the dlPFC lesion on the motor habit of the monkeys. These observations are reminiscent of previous studies using conditional tasks with delay that have proposed a specialization of the dlPFC for visuo-spatial working memory, except that this is in a different context of "free-will", non-conditional manual dexterity task, without a component of working memory.

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Sound localization relies on the analysis of interaural time and intensity differences, as well as attenuation patterns by the outer ear. We investigated the relative contributions of interaural time and intensity difference cues to sound localization by testing 60 healthy subjects: 25 with focal left and 25 with focal right hemispheric brain damage. Group and single-case behavioural analyses, as well as anatomo-clinical correlations, confirmed that deficits were more frequent and much more severe after right than left hemispheric lesions and for the processing of interaural time than intensity difference cues. For spatial processing based on interaural time difference cues, different error types were evident in the individual data. Deficits in discriminating between neighbouring positions occurred in both hemispaces after focal right hemispheric brain damage, but were restricted to the contralesional hemispace after focal left hemispheric brain damage. Alloacusis (perceptual shifts across the midline) occurred only after focal right hemispheric brain damage and was associated with minor or severe deficits in position discrimination. During spatial processing based on interaural intensity cues, deficits were less severe in the right hemispheric brain damage than left hemispheric brain damage group and no alloacusis occurred. These results, matched to anatomical data, suggest the existence of a binaural sound localization system predominantly based on interaural time difference cues and primarily supported by the right hemisphere. More generally, our data suggest that two distinct mechanisms contribute to: (i) the precise computation of spatial coordinates allowing spatial comparison within the contralateral hemispace for the left hemisphere and the whole space for the right hemisphere; and (ii) the building up of global auditory spatial representations in right temporo-parietal cortices.

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We examine the proof of a classical localization theorem of Bousfield and Friedlander and we remove the assumption that the underlying model category be right proper. The key to the argument is a lemma about factoring in morphisms in the arrow category of a model category.

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In this paper, we consider an exchange economy µa la Shitovitz (1973), with atoms and an atomless set. We associate with it a strategic market game of the kind first proposed by Lloyd S. Shapley and known as the Shapley window model. We analyze the relationship between the set of the Cournot-Nash equilibrium allocations of the strategic market game and the Walras equilibrium allocations of the exchange economy with which it is associated. We show, with an example, that even when atoms are countably in¯nite, any Cournot-Nash equilibrium allocation of the game is not a Walras equilibrium of the underlying exchange economy. Accordingly, in the original spirit of Cournot (1838), we par- tially replicate the mixed exchange economy by increasing the number of atoms, without a®ecting the atomless part, and ensuring that the measure space of agents remains finite. We show that any sequence of Cournot-Nash equilibrium allocations of the strategic market games associated with the partially replicated exchange economies approximates a Walras equilibrium allocation of the original exchange economy.